In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of these show some signs of damage. Which of the following statements is correct?

(a) 40% is a parameter

(b) 40% is a statistic

(c) 40% of all trees in the forest show some signs of damage

(d) More than 40% of the trees in the forest show some signs of damage

(e) Less than 40% of the trees in the forest show some signs of damage

Question

Mathematics

Natalee Petersen

10 August, 13:05

In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of these show some signs of damage. Which of the following statements is correct?

(a) 40% is a parameter

(b) 40% is a statistic

(c) 40% of all trees in the forest show some signs of damage

(d) More than 40% of the trees in the forest show some signs of damage

(e) Less than 40% of the trees in the forest show some signs of damage

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Answers (1)

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Eli Shaw · Answer 1

b

Step-by-step explanation:

The sample consists of 100 random samples of trees. This means that a parameter is not covered and therefore a is can't be correct.

Not all the trees were used in the sample and therefore c stating that 40% of all the trees in the forest show some signs of damage is not true.

We don't know the number of trees in the forest and 40% of a sample where damage therefore d and e cannot be true.

40% is merely a statistic of 100 sample trees